Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Question
Chapter 4, Problem 1RE
(a)
To determine
To predict: The margin of win if the home team is favored by 3 points.
(a)
Expert Solution
Answer to Problem 1RE
Solution: The predicted value of the margin of win if the home team is favored by 3 points is 3.009.
Explanation of Solution
Given: The least-squares linear regression is provided in the question. The response variable is the winning margin and the explanatory variable is the spread.
Explanation: The value of the margin of winning can be obtained from the regression equation by substituting the value of the spread in the least-squares regression line. The predicted value of the margin of winning for the home team when the team is favored by 3 points can be calculated as follows:
(b)
To determine
To predict: The margin of win if the visiting team is favored by 7 points.
(b)
Expert Solution
Answer to Problem 1RE
Solution: The predicted value of the margin of win if the visiting team is favored by 7 points is 7.037.
Explanation of Solution
Given: The least-squares linear regression is provided in the question. The response variable is the winning margin and the explanatory variable is the spread.
Explanation: The value of the margin of win can be obtained from the regression equation by substituting the value of the spread in the least-squares regression line. The predicted value of the margin of win for the visiting team if the team is favored by 7 points can be calculated as follows:
(c)
To determine
To interpret: The slope.
(c)
Expert Solution
Answer to Problem 1RE
Solution: The slope can be interpreted as follows: if there is an increase of 1 unit of the variable
Explanation of Solution
Given: The least-squares linear regression is provided in the question. The response variable is the winning margin and the explanatory variable is the spread.
Explanation: The slope of the least-squares regression equation indicates the quantity of increase (decrease) in the response variable due to the 1-unit increase (decrease) in the value of the explanatory variable. In the provided equation, the amount of increase in the value of
(d)
To determine
To interpret: The y-intercept.
(d)
Expert Solution
Answer to Problem 1RE
Solution: The
Explanation of Solution
Given: The least-squares linear regression is provided in the question. The response variable is the winning margin and the explanatory variable is the spread.
Explanation: The
(e)
To determine
To interpret: The value of the coefficient of determination.
(e)
Expert Solution
Answer to Problem 1RE
Solution: The variation in winning margin is 39%, which can be explained by the least-squares regression equation.
Explanation of Solution
Given: The value of the coefficient of determination is 0.39.
Explanation: The coefficient of determination indicates that 39% of the variation is explained by the regression equation involving independent variable and the rest of the 61% variation remains unexplained.
Conclusion: From coefficient of determination, it is concluded that 39% of the variation in the winning margin is explained by the regression line.
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Chapter 4 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 4.1 - 1. What is the difference between univariate data...Ch. 4.1 - Prob. 2AYUCh. 4.1 - Prob. 3AYUCh. 4.1 - 4. What does it mean to say two variables are...Ch. 4.1 - Prob. 5AYUCh. 4.1 - 6. True or False: If the linear correlation...Ch. 4.1 - 7. A ______ variable is a variable that is related...Ch. 4.1 - Prob. 8AYUCh. 4.1 - Prob. 9AYUCh. 4.1 - Prob. 10AYU
Ch. 4.1 - Prob. 11AYUCh. 4.1 - Prob. 12AYUCh. 4.1 - 13. Match the linear correlation coefficient to...Ch. 4.1 - 14. Match the linear correlation coefficient to...Ch. 4.1 - Prob. 15AYUCh. 4.1 - 16. Relation between Education and Birthrate? The...Ch. 4.1 - Prob. 17AYUCh. 4.1 - Prob. 18AYUCh. 4.1 - Prob. 19AYUCh. 4.1 - Prob. 20AYUCh. 4.1 - 21. Name the Relation, Part I For each of the...Ch. 4.1 - 22. Name the Relation, Part II For each of the...Ch. 4.1 - Prob. 23AYUCh. 4.1 - Prob. 24AYUCh. 4.1 - Prob. 25AYUCh. 4.1 - Prob. 26AYUCh. 4.1 - Prob. 27AYUCh. 4.1 - 28. American Black Bears The American black bear...Ch. 4.1 - Prob. 29AYUCh. 4.1 - Prob. 30AYUCh. 4.1 - Prob. 31AYUCh. 4.1 - Prob. 32AYUCh. 4.1 - Prob. 33AYUCh. 4.1 - Prob. 34AYUCh. 4.1 - Prob. 35AYUCh. 4.1 - 36. American Black Bears The website that...Ch. 4.1 - Prob. 37AYUCh. 4.1 - 38. Predicting Winning Percentage The ultimate...Ch. 4.1 - Prob. 39AYUCh. 4.1 - 40. Lyme Disease versus Drownings Lyme disease is...Ch. 4.1 - Prob. 41AYUCh. 4.1 - 42. Obesity In a study published in the Journal of...Ch. 4.1 - Prob. 43AYUCh. 4.1 - Prob. 44AYUCh. 4.1 - Prob. 45AYUCh. 4.1 - Prob. 46AYUCh. 4.1 - Prob. 47AYUCh. 4.1 - Prob. 48AYUCh. 4.1 - Prob. 49AYUCh. 4.1 - Prob. 50AYUCh. 4.1 - Prob. 51AYUCh. 4.1 - 52. Write a paragraph that explains the concept of...Ch. 4.1 - Prob. 53AYUCh. 4.1 - Prob. 54AYUCh. 4.1 - Prob. 55AYUCh. 4.1 - Prob. 56AYUCh. 4.2 - 1. The difference between the observed and...Ch. 4.2 - 2. If the linear correlation between two variables...Ch. 4.2 - 3. True or False: The least-squares regression...Ch. 4.2 - 4. If the linear correlation coefficient is 0,...Ch. 4.2 - Prob. 5AYUCh. 4.2 - 6. For the data...Ch. 4.2 -
In Problems 7–12:
(a) By hand, draw a scatter...Ch. 4.2 - Prob. 8AYUCh. 4.2 - In Problems 7–12:
(a) By hand, draw a scatter...Ch. 4.2 - Prob. 10AYUCh. 4.2 - In Problems 7–12:
(a) By hand, draw a scatter...Ch. 4.2 - In Problems 7–12:
(a) By hand, draw a scatter...Ch. 4.2 - Prob. 13AYUCh. 4.2 - Prob. 14AYUCh. 4.2 - 15. Age Gap at Marriage Is there a relation...Ch. 4.2 - 16. You Explain It! CO2 and Energy Production The...Ch. 4.2 - Prob. 17AYUCh. 4.2 - Problems 17–22 use the results from Problems 25–30...Ch. 4.2 - Prob. 19AYUCh. 4.2 - Problems 17–22 use the results from Problems 25–30...Ch. 4.2 - Prob. 21AYUCh. 4.2 - Prob. 22AYUCh. 4.2 - Prob. 23AYUCh. 4.2 - 24. Attending Class The following data represent...Ch. 4.2 - Prob. 25AYUCh. 4.2 - Prob. 26AYUCh. 4.2 - Prob. 27AYUCh. 4.2 - 28. Graduation Rates Go to...Ch. 4.2 - Prob. 29AYUCh. 4.2 - 30. Putting It Together: Smoking and Birth Weight...Ch. 4.2 - Prob. 31AYUCh. 4.2 - 32. Explain the phrase outside the scope of the...Ch. 4.2 - Prob. 33AYUCh. 4.2 - Prob. 34AYUCh. 4.2 - Prob. 35AYUCh. 4.3 - 1. The ___ ___ ___, R2, measures the proportion of...Ch. 4.3 - Prob. 2AYUCh. 4.3 - 3. A _____ _____ is a scatter diagram with the...Ch. 4.3 - 4. What is an influential observation?
Ch. 4.3 - Prob. 5AYUCh. 4.3 - In Problems 5–8, analyze the residual plots and...Ch. 4.3 - Prob. 7AYUCh. 4.3 - Prob. 8AYUCh. 4.3 - Prob. 9AYUCh. 4.3 - Prob. 10AYUCh. 4.3 - Prob. 11AYUCh. 4.3 - Prob. 12AYUCh. 4.3 - Prob. 13AYUCh. 4.3 - Prob. 14AYUCh. 4.3 - Prob. 15AYUCh. 4.3 - Prob. 16AYUCh. 4.3 - Prob. 17AYUCh. 4.3 - Prob. 18AYUCh. 4.3 - Prob. 19AYUCh. 4.3 - Prob. 20AYUCh. 4.3 - Prob. 21AYUCh. 4.3 - Problems 19–24 use the results from Problems 25–30...Ch. 4.3 - Prob. 23AYUCh. 4.3 - Prob. 24AYUCh. 4.3 - Prob. 25AYUCh. 4.3 - Prob. 26AYUCh. 4.3 - Prob. 27AYUCh. 4.3 - Prob. 28AYUCh. 4.3 - Prob. 29AYUCh. 4.3 - Prob. 30AYUCh. 4.3 - 31. Putting It Together: A Tornado Model Is the...Ch. 4.3 - Prob. 32AYUCh. 4.3 - Prob. 33AYUCh. 4.4 - 1. What is meant by a marginal distribution? What...Ch. 4.4 - Prob. 2AYUCh. 4.4 - Prob. 3AYUCh. 4.4 - Prob. 4AYUCh. 4.4 - In Problems 5 and 6,
(a) Construct a frequency...Ch. 4.4 - Prob. 6AYUCh. 4.4 - 7. Made in America In a recent Harris Poll, a...Ch. 4.4 - Prob. 8AYUCh. 4.4 - 9. Party Affiliation Is there an association...Ch. 4.4 - 10. Feelings on Abortion The Pew Research Center...Ch. 4.4 - 11. Health and Happiness The General Social Survey...Ch. 4.4 - Prob. 12AYUCh. 4.4 - 13. Smoking Is Healthy? Could it be that smoking...Ch. 4.4 - Prob. 14AYUCh. 4.4 - Prob. 15AYUCh. 4 - Prob. 1RECh. 4 - 2. Fat and Calories in Cheeseburgers A...Ch. 4 - Prob. 3RECh. 4 - 4. Using the data and results from Problem 2, do...Ch. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - 10. Use the results from Problems 2 and 4 for the...Ch. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - 13. Depreciation The following data represent the...Ch. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 1CSCh. 4 - Prob. 2CSCh. 4 - Prob. 3CSCh. 4 - 4. Determine the number of acres of farmland A in...Ch. 4 - Prob. 5CSCh. 4 - Prob. 6CS
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